Philosophers at War

Philosophers at War PDF Author: Alfred Rupert Hall
Publisher: Cambridge University Press
ISBN: 9780521524896
Category : Biography & Autobiography
Languages : en
Pages : 358

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Book Description
A blow-by-blow account of the celebrated controversy over the invention of the calculus.

Philosophers at War

Philosophers at War PDF Author: Alfred Rupert Hall
Publisher: Cambridge University Press
ISBN: 9780521524896
Category : Biography & Autobiography
Languages : en
Pages : 358

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Book Description
A blow-by-blow account of the celebrated controversy over the invention of the calculus.

The Calculus Wars

The Calculus Wars PDF Author: Jason Socrates Bardi
Publisher: Basic Books
ISBN: 0786733640
Category : Science
Languages : en
Pages : 226

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Book Description
Now regarded as the bane of many college students' existence, calculus was one of the most important mathematical innovations of the seventeenth century. But a dispute over its discovery sewed the seeds of discontent between two of the greatest scientific giants of all time -- Sir Isaac Newton and Gottfried Wilhelm Leibniz. Today Newton and Leibniz are generally considered the twin independent inventors of calculus, and they are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret. This long and bitter dispute has been swept under the carpet by historians -- perhaps because it reveals Newton and Leibniz in their worst light -- but The Calculus Wars tells the full story in narrative form for the first time. This vibrant and gripping scientific potboiler ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad and, in the end, completely human.

The History of the Priority Di∫pute between Newton and Leibniz

The History of the Priority Di∫pute between Newton and Leibniz PDF Author: Thomas Sonar
Publisher: Birkhäuser
ISBN: 3319725637
Category : Mathematics
Languages : en
Pages : 566

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Book Description
This book provides a thrilling history of the famous priority dispute between Gottfried Wilhelm Leibniz and Isaac Newton, presenting the episode for the first time in the context of cultural history. It introduces readers to the background of the dispute, details its escalation, and discusses the aftermath of the big divide, which extended well into rThe Early Challengesnd the story is very intelligibly explained – an approach that offers general readers interested in the history of sciences and mathematics a window into the world of these two giants in their field. From the epilogue to the German edition by Eberhard Knobloch:Thomas Sonar has traced the emergence and the escalation of this conflict, which was heightened by Leibniz’s rejection of Newton’s gravitation theory, in a grandiose, excitingly written monograph. With absolute competence, he also explains the mathematical context so that non-mathematicians will also profit from the book. Quod erat demonstrandum!

Space, Time, and Theology in the Leibniz-Newton Controversy

Space, Time, and Theology in the Leibniz-Newton Controversy PDF Author: Edward J. Khamara
Publisher: Walter de Gruyter
ISBN: 3110328305
Category : Philosophy
Languages : en
Pages : 178

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Book Description
In the famous Correspondence with Clarke, which took place during the last year of Leibniz’s life, Leibniz advanced several arguments purporting to refute the absolute theory of space and time that was held by Newton and his followers. The main aim of this book is to reassess Leibniz’s attack on the Newtonian theory in so far as he relied on the principle of the identity of indiscernibles. The theological side of the controversy is not ignored but isolated and discussed in the last three chapters, which deal with problems connected with the notions of omnipotence and omniscience.

Emilie du Châtelet between Leibniz and Newton

Emilie du Châtelet between Leibniz and Newton PDF Author: Ruth Hagengruber
Publisher: Springer Science & Business Media
ISBN: 9400720939
Category : Philosophy
Languages : en
Pages : 264

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Book Description
Emilie du Châtelet was one of the most influential woman philosophers of the Enlightenment. Her writings on natural philosophy, physics, and mechanics had a decisive impact on important scientific debates of the 18th century. Particularly, she took an innovative and outstanding position in the controversy between Newton and Leibniz, one of the fundamental scientific discourses of that time. The contributions in this volume focus on this "Leibnitian turn". They analyze the nature and motivation of Emilie du Châtelet's synthesis of Newtonian and Leibnitian philosophy. Apart from the Institutions Physiques they deal with Emilie du Châtelet's annotated translation of Isaac Newton's Principia. The chapters presented here collectively demonstrate that her work was an essential contribution to the mediation between empiricist and rationalist positions in the history of science.

The Leibniz-Clarke Correspondence

The Leibniz-Clarke Correspondence PDF Author: Samuel Clarke
Publisher: Manchester University Press
ISBN: 9780719006692
Category : Philosophy
Languages : en
Pages : 260

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Book Description
In 1715 the German philosopher Leibniz warned his friend the Princess of Wales of the dangers posed to religion by Newton's ideas. This book presents extracts from Leibniz's letters to Newtonian scientist Samuel Clarke.

Newton Vs Leibniz

Newton Vs Leibniz PDF Author: Rafeal Mechlore
Publisher: Uniek Enterprises
ISBN: 9788196668914
Category :
Languages : en
Pages : 0

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Book Description
The Newton vs. Leibniz calculus controversy is a significant chapter in the history of mathematics, one that continues to captivate scholars and enthusiasts alike. It centers on the independent and parallel development of calculus by two of the greatest minds of the 17th century, Sir Isaac Newton and Gottfried Wilhelm Leibniz. This controversy has sparked debates, fueled nationalistic pride, and exemplified the complexity of scientific priority and the ambiguities of intellectual property. In the late 17th century, both Newton, an English mathematician and physicist, and Leibniz, a German mathematician and philosopher, independently formulated the principles of calculus. Their groundbreaking work laid the foundation for this branch of mathematics, enabling the study of change and motion, and became integral to various scientific and engineering disciplines. Newton's method, known as "the method of fluxions," involved the concept of infinitesimals and was published in his seminal work "Philosophiæ Naturalis Principia Mathematica" in 1687. Leibniz, on the other hand, used a notation system based on differentials and integrals, which was more accessible and user-friendly. He presented his findings in 1684, well before Newton's publication. The controversy unfolded when the priority of the invention was questioned. Accusations of plagiarism, unfair claims, and nationalistic sentiments clouded the discourse. Newton, who was known for his disputes and his leadership of the Royal Society, actively promoted his calculus while discrediting Leibniz's work. Leibniz, in his correspondence, defended his methods and highlighted the distinctiveness of his approach. Ultimately, the dispute had far-reaching consequences. In 1711, the Royal Society declared in favor of Newton, which had a detrimental impact on Leibniz's reputation. This decision contributed to the lingering belief that Leibniz had plagiarized Newton, despite historical evidence to the contrary. Modern scholarship recognizes that both Newton and Leibniz independently and legitimately developed calculus. They had different notations and approaches, but the fundamental principles they established were equivalent. This controversy serves as a reminder of the complexities of scientific discovery and the importance of fair recognition for intellectual contributions. Today, calculus remains a cornerstone of mathematics and science, and both Newton and Leibniz are celebrated for their enduring legacies. The Newton vs. Leibniz controversy, while shedding light on the challenges of scientific priority, also underscores the profound impact of these two visionaries on the world of mathematics and the intellectual history of humankind.

Between Leibniz, Newton, and Kant

Between Leibniz, Newton, and Kant PDF Author: Wolfgang Lefèvre
Publisher: Springer
ISBN: 9780792371984
Category : Philosophy
Languages : en
Pages : 288

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Book Description
This addresses the transformations of metaphysics as a discipline, the emergence of analytical mechanics, the diverging avenues of 18th-century Newtonianism, the body-mind problem, and philosophical principles of classification in the life sciences. An appendix contains a critical edition and first translation into English of Newton's scholia from David Gregory's Estate on the Propositions IV through IX Book III of his Principia.

Equivalence and Priority

Equivalence and Priority PDF Author: Domenico Bertoloni Meli
Publisher:
ISBN:
Category : Biography & Autobiography
Languages : en
Pages : 342

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Book Description
Leibniz's dispute with Newton over the physico-mathematical theories expounded in the Principia Mathematica (1687) have long been identified as a crucial episode in the history of science. Bertolini Meli here examines several hitherto unpublished manuscripts in Leibniz's hand illustrating his first reading of and reaction to Newton's Principia. Six of the most important manuscripts are here presented for the first time. Contrary to Leibniz's own claims, this new evidence shows that he had studied Newton's masterpiece before publishing An Essay on the Causes of Celestial Motions. This article, representing his response to Newton, also included in English translation. Meli analyzes the important implications of this episode on a variety of themes ranging from priority claims to the mathematization of nature in the 17th century. Besides providing a careful study of Leibniz's style and strategy, the author examines how our perception of Newton's achievement is affected and the reception of the rival theories by the mathematical community around 1700. This unique work will interest all historians of science and philosophy.

Isaac Newton on Mathematical Certainty and Method

Isaac Newton on Mathematical Certainty and Method PDF Author: Niccolò Guicciardini
Publisher: MIT Press
ISBN: 0262013177
Category : Mathematical analysis
Languages : en
Pages : 449

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Book Description
An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics.